Solving Square root and other radical equations

Answers

Answer 1

Answer: How to answer radical questions and such:

The most basic is to isolate one of the square roots, square both sides, and this will usually yield less square roots than when you started with. Keep repeating until you have no more square roots. This works pretty well in most cases, there are sometimes some tricks, arising from the particular problems themselves ways, which allow you to solve the equations much faster

Answer 2

The solving methods for Square root and radical equations are given below.

What is a radical equation?

An equation wherein a variable is withinside the radicand of a thorough expression is referred to as a thorough equation. As usual, whilst fixing those equations, what we do to at least one aspect of an equation we ought to do to the alternative aspect as well. Once we isolate the radical, our approach could be to elevate each facet of the equation to the strength of the index. This will remove the radical.

To asked how to solve Square root and the radical equation

For Square root:

There are many methods for solving a square root such as

Repeated Subtraction Method of Square RootSquare Root by Prime Factorization MethodSquare Root by Estimation MethodSquare Root by Long Division Method

Here we will learn solving Square root using the Long method

Long division method

Separate your square root base into pairs. Find the largest square that divides into the first number or pair. Subtract the square from the first number or pair. Drop down the next pair.Multiply the first digit of the square by twoSet up the next factor equation.

For radical equation:

There are many types of radical equations such as

Equation with one radicalEquation with two radicalsEquation with three radicals

And so on,

the best way to solve radical equations is:

Isolate one of the radical terms on one side of the equation.Raise both sides of the equation to the power of the index.Are there any more radicals?If yes, repeat Step 1 and Step 2 again.If no, solve the new equation.Check the answer in the original equation.

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Related Questions

Find the height of a cuboid whose volume is 540cu.cm and base area is 90sq.cm

Answers

Answer:

6 cm

Step-by-step explanation:

Vcuboid  = lwh

⇒ h = Vcuboid ÷ lw

∴  h = 540 cm³ ÷ 90 cm²

⇒ h = 6 cm

A ring is now reduced to £840.
This is a saving of 40% of the original price.
b) Work out the original price of the ring.

Answers

Answer:

840÷69=14

14×100=1400

please help dont know how to solve

Answers

Answer:

35cm

98°

Step-by-step explanation:

4x+3=6x-13

4x+16=6x

16=2x

8= x

4x+3 = 8*4+3 = 35

9y+17=11y-1

9y+18=11y

18=2y

9=y

9y+17 = 9*9+17= 98°

clothing store sells four shirts for $60.00. The next week, the store runs a special that is buy three shirts for $19.50 each, get the fourth free. Which is the better buy?​

Answers

Answer:

the 19.50 for each one

Step-by-step explanation:

Answer:

its 19.50 get the fourth free

Step-by-step explanation:

Write an equivalent expression by simplifying the expression using combining like terms.

18x + 4y - 8x + 2

Answers

Answer: 10x + 4y + 2

The terms with an x are considered like terms so they could be subtracted.

Plz i need help on a math problem it is 1/4 divided by 2 then go back to 1/4 and divide it again but by 3 then go back to it again and divide it by 4 then go back to 1/4 and divide it by 5 plz someone help me!!!!

Answers

Answer:

(1) 1/8

(2) 1/12

(3) 1/16

(4) 1/20

Step-by-step explanation:

We need to find multiple divisions, it says  1/4 divided by 2 then go back to 1/4 and divide it again but by 3 then go back to it again and divide it by 4 then go back to 1/4 and divide it by 5.

We will take one by one

(1) 1/4 divides by 2 will be  = 1/8

(2) 1/4 divided by 3 = 1/12

(3) 1/4 divided by 4 = 1/16

(4) 1/4 divided by 5 =1/20

These results are obtained by dividing the given parts, as the given Numerator is in fraction so whatever will be divided from the fractional numerator will get multiplied with the denominator.

 


Travis reads 21/4 pages of his history assignment in 7 1/2
minutes. Which TWO statements are correct?
A)
The unit rate is 7 pages per minute.
B)
7
The unit rate is
10
page per minute.
0)
The unit rate is 51 pages per minute.
D)
At the same rate, Travis reads 40 pages in 28 minutes.
E)
At the same rate, Travis reads 60 pages in 28 minutes.

Answers

Answer:

its B and E i just did the question and got it right

Answer:

B and D

Step-by-step explanation:

Round 47,637 to the nearest hundred.

Answers

Answer:

47,600

Step-by-step explanation:

hope this helps <3

Answer:

47,637

47,600

I hope this helped! +*♡

pls help me with this multiple choice !

Answers

Answer:

Step-by-step explanation:

Cdd

Answer:

B

Step-by-step explanation:

[tex] \tan(60) = \frac{n}{46} \\ n =46 \sqrt{3} \\ \cos(60) = \frac{46}{m} \\ m = 92[/tex]

The Acosta family went out to dinner. The price of the meal was $79.85. If the tip was 15%. How much money did the Acosta family pay for the meal, including tip?

A) $91.83
B) $67.87
C) $11.98
D) $94.85​

Answers

Answer:

the Smith family pay for the meal = $ 36.39

Step-by-step explanation:

The Smith family went out to dinner . The price of the meal was $ 29.85 .

The sales tax was 6 % of the price of the meal .

LEts find sales tax amount sales tax amount = price of meal *

sales tax 6 % ( 0.06 ) = 29.85 * 0.06 = 1.791 sales tax amount = 1.791

Price of the mean with sales tax = 29.85 + 1.791 = 31.641

The tip was 15 % of the meal and the sales tax now we find out tip amount for 31.641 15 % is 15 / 100 = 0.15

Tip amount = 31.641 * 0.15 = 4.74615

Now we add the top amount with 31.641 31.641+ 4.74615 = 36.38715

the Smith family pay for the meal = $ 36.39

The cost of downloading a video game app on the App Store is $1.75. Which equation can be used to find the c, the cost in dollar of downloading n video games?


A) c = n + 1.75

B) c = 1.75n

C) n = c + 1.75

D) n = 1.75 c

Answers

Answer:

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Step-by-step explanation:

make t the subject formula h=square root of 2t-3

Answers

Square both sides:

h^2 = 2t - 3
2t = h^2 + 3
t = (h^2 + 3)/2

The subject formula for t in equation form is "t = (h² + 3)/2".

What is the equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Given, the subject formula h=square root of 2t-3

Since h = √2t-3

thus solving the equation for t

h² = 2t - 3

2t = h² + 3

t = (h² + 3)/2

Therefore, the Simplified form of the given equation in the terms of t is "t = (h² + 3)/2"

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What is the value of x in the diagram below?

Answers

Answer:

The answer is B:65°.

65 degrees

Step-by-step explanation:

The angles add up to 180 inside, the 145 suggests the inside angle is 35, and 65 (answer) would make the whole triangle add up to 180

BRAINLIEST PLZ

The perimeter of the shape is 25.71cm
Calculate the value of the radius A take pi to be 3.142

Answers

Answer:

Step-by-step explanation:

2 [tex]\pi[/tex] r=25.71

6.284r= 25.71 (divide by 8.284 on both sides)

r=4.09cm

Answer :
Use the equation: 3.142r+2r= 25.71

Combine like terms for: 5.142r = 25.71

You will find that the radius is 5. The diameter is 10.

If you are using 3.142 to represent pi, you can check using the formula for perimeter of pi times diameter/2 for a semi circle. Don't forget to add the line segment for the rest of perimeter.

It would look like this: SemiCircle: 3.142(10)/2 = 15.71(distance around semi circle) + 10 (the line segment) = 25.71

A motorcar is running at the rate of 66 km per hour. Each
of its wheels makes 500 revolutions per minute. Find the
radius of the wheel.
.(Ans: 35 cm)

Answers

Answer:

Given:

The radius of a wheel =r=35 cm=0.35 cm.

The speed it must keep =s=66 km/h=

60

66×1000

m/min=1100 m/min

To find out:

The number of revolution =n, it makes per minute to maintain that speed.

Solution:

The circumference =C of the wheel =2πr=2×

7

22

×0.35 m=2.2 m=C

The distance the wheel covers in 1 min=d=1100 m.

Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.

∴ Here the number of revolution =n=

C

d

=

2.2

1100

=500.

What is the vertex of the absolute value function below?

Answers

Answer: (-3,2)

Step-by-step explanation:

(-3,2) is where the line changes.

Answer:

B

Step-by-step explanation:

edge 2021

Jada and Priya are trying to solve the equation 2/3+x=4
Jada says, “I think we should multiply each side by 3/2 because that is the reciprocal of 2/3."
Priya says, “I think we should add -2/3 to each side because that is the opposite of 2/3."
1. Which person's strategy should they use?
2. Explain your reasoning.

Answers

Answer:

Priya is correct.  Because 2/3 is being added to x and not multiplied, then subtracting 2/3 from both sides is the correct action.

Step-by-step explanation:

Let's run through solving it that way:

2/3 + x = 4

2/3 - 2/3 + x = 4 - 2/3

0 + x = 4 - 2/3

x = 4 - 2/3

x = 10/3

find the are of the triangle​

Answers

Answer:

5 units^2

Step-by-step explanation:

Area of a triangle =

[tex] \frac{bh}{2} [/tex]

plugging in:

[tex] \frac{5 \times 2}{2} [/tex]

[tex] \frac{10}{2} [/tex]

[tex]5[/tex]

Answer:

A=1/2(b)(h)

H= 2 units

b= 5

A= 10×1/2 = 5 units^2

Robin has read 3/4
of a book. Mark said he had read 1/2
as much as Robin. What fraction of the book has Mark ready?

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

3/4 × 1/2 = 3/8

I hope this helps!

When playing the integer game, the first two cards were -8 -10. What is the value of your hand? Write an equation to justify your answer.

Answers

Answer:

-18

Step-by-step explanation:

-8 + (-10)

-8-10

-18

Hope this HELPS

PLEASE due in 30 minutes! This is my third time asking for help!!!

Answers

Answer:

g(x)=3^-2x
g(x)=9^-x
g(x)=(1/9)^x

Explanation:

Hope this helps!

A rectangular window is 3ft long and 2ft wide. Kala would like to buy a screen for the window. The cost of the screen is based on the number of square inches the screen is. Use the facts to find the area of the window in square inches.

Answers

Answer:

The cost of screen for window = 864.

Step-by-step explanation:

We have,

A rectangular window of length = 3ft and breadth 2 ft.

Fir solving,

As the answers should be in sqaure inches let us first convert ft in inches.Then, we will find the area of window and as the cost of screen is same as that of area,we will find it.

★Conversion from ft to inches:

We kow that,

1 foot = 12 inches

Taking this in mind, convert the values

= Length = 3 ft

= Length = 3 × 12

= Length = 36 inchees

= Breadth = 2ft

= Breadth = 2 × 12

= Breadth = 24 inches

Area of window:

We know that,

= Area of rectangle = Length × Breadth

= Area = 36 × 24

= Area = 864 inches²

As, area of window in square inches equal to cost of the screen.

Therfore, cost of screen would be 864.

__________________________

On a trip to New York City eight people spent a total of $900 on transportation and 500 and hotel room if they share the cop cop cost equally how much did each person

Answers

Each person payed $175

First add the cost up:
$900 on transportation + $500 hotel room= $1400 total

8 people paying $1400 means divide 1400 by 8 to see how much one person payed.

1400/8 = 175
Each person payed $175

What is the maximum value of the picture below?

Answers

Answer:

y = 4

Step-by-step explanation:

The maximum value occurs at the vertex

vertex = (2, 4 )

when x = 2 the maximum value is y = 4

The ordered pair D(0,-5) is translated 2 units left and 6 units up. Which of the following describes the translation using translation notation?

A. (x-2, y-6)
B. (x-6, y+2)
C. (x+6, y-2)
D. (x-2, y+6)

Answers

Answer:

Variant D

Step-by-step explanation:

Answer is x-2 and y+6

The translation using translation notation can be described as (x-2, y+6). The correct option is D.

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The coordinates of a point are given as (x,y).

Now, the x-coordinate is on the horizontal axis, therefore, if the point is moving right it is going in the positive direction, while if the point is moving in the left direction it is going in the negative direction.

Similarly, the y-coordinate is on the vertical axis, therefore, if the point is moving upwards it is going in the positive direction, while if the point is moving in downwards its direction it is going in the negative direction.

Given that the coordinates are translated as 2 units left and 6 units up. Therefore, we can write,

(x,y) → (x-2, y+6)

Hence, the translation using translation notation can be described as

(x-2,y+6).

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Pleasee helpp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 146º

Step-by-step explanation:

the sum of two angles on the same side is 180º

x + 34º = 180º                subtract 34º from both sides

x = 146º

A student has 6 nickel 14 dimes and 8 quarter.what is the ratios of the total number of coins to the number of nickels ?

Answers

Answer: There is 28 coins total

Plants must break down the sugar in cells to obtain energy from the food that is produced. What is this
process called?
Respiration
Transpiration
Restoration
O Photosynthesis
Help

Answers

Answer:

Restoration I believe

I'm so sorry if I'm wrong

Step-by-step explanation:

Answer:

photosynthesis

Step-by-step explanation:

Kevin from Pullman was offered a deal to write story problems for ST2 publishing Company. For every 5 he wrote he was paid $12.00. How much did Kevin get paid per problem?

Answers

Answer: $2.40

Step-by-step explanation:

If Kevin gets 12 dollars for every 5 problems, we will need to divide 12 by 5 to find the unit rate; how much Kevin gets for each problem.

12 ÷ 5 = 2.4, and in dollars it is equal to $2.40. Because of this, Kevin is paid $2.40 for each problem he makes for the ST2 publishing Company.

The dinner bill came to $24.29 before tax and tip. If the taxes were 6% and they decided to leave an 18% tip, what was the total cost of the dinner?

Answers

Answer:

$30.64 +6% tax and 18% tip

Step-by-step explanation:

Hope it helps

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